The high order Schwarz-Pick lemma on complex Hilbert balls

DOI10.1007/S11425-010-3119-3zbMath1211.32001OpenAlexW2038476373WikidataQ124802104 ScholiaQ124802104MaRDI QIDQ625879

Huai Hui Chen, Yifei Pan, Shaoyu Dai

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-3119-3

zbMATH Keywords

Hilbert spacesholomorphic mappingsSchwarz type lemma

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Holomorphic functions of several complex variables (32A10)

Related Items (11)

A Schwarz lemma at the boundary of Hilbert balls ⋮ Schwarz-Pick lemma for harmonic and hyperbolic harmonic functions ⋮ The generalized Schwarz-Pick estimates of arbitrary order on the unit polydisk ⋮ A Schwarz–Pick lemma for the norms of holomorphic mappings in Banach spaces ⋮ Schwarz-Pick estimates for holomorphic mappings with values in homogeneous ball ⋮ Inequalities of Schwarz–Pick type with branch points and the pseudo-hyperbolic distance ⋮ Boundary Schwarz lemma for pluriharmonic mappings between unit balls ⋮ Boundary Schwarz lemma for nonequidimensional holomorphic mappings and its application ⋮ Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions ⋮ The boundary Schwarz lemma for harmonic and pluriharmonic mappings and some generalizations ⋮ A Schwarz–Pick lemma for the modulus of holomorphic mappings

Cites Work

• The Schwarz-Pick lemma of high order in several variables
• Schwarz-Pick estimates for bounded holomorphic functions in the unit ball of \(\mathbb C^n\)
• Generalized Schwarz-Pick estimates
• Note on Schwarz-Pick estimates for bounded and positive real part analytic functions
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